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research article
Continuity Of Multimarginal Optimal Transport With Repulsive Cost
January 1, 2019
We provide sharp conditions for the finiteness and the continuity of multimarginal optimal transport with repulsive cost, expressed in terms of a suitable concentration property of the measure. To achieve this result, we analyze the Kantorovich potentials of the optimal plans, and we estimate the distance of any optimal plan from the regions where the cost is infinite.
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Type
research article
Web of Science ID
WOS:000483950800004
Authors
Publication date
2019-01-01
Published in
Volume
51
Issue
4
Start page
2903
End page
2926
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 20, 2019